I have a LinkedIn app which can access the LinkedIn v2 API (tested with v2 endpoints), having the following privileges (scopes) according to the LinkedIn Developer Portal:
I'm pretty certain it's that you must apply to the Marketing Partner Program. I'm having the same issue as well, and I just applied to the program. Currently awaiting approval, but will confirm/edit answer once I get confirmation.
LinkedIn has made a lot of changed to their API over the past few months. Check out the latest permission changes relevant to this post:
https://docs.microsoft.com/en-us/linkedin/shared/references/migrations/marketing-permissions-migration
EDIT: Confirmed. I didn't receive a notification that I was approved, however, it's 30 days later after applying and I just noticed there was a new product available under "Products" once you are logged in and on your App in the developer portal. You have to add the "Marketing Developer Platform" product, and once again fill out an application:
After completing, they say they will provide you with confirmation within 90 days.